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|
(in-package "BCV")
(include-book "../BCV/typechecker")
(acl2::set-match-free-default :all)
(defthm isJavaSubclassOf-Transitive
(implies (and (isJavaSubclassOf t1 t2 cl)
(isJavaSubclassOf t2 t3 cl))
(isJavaSubclassOf t1 t3 cl))
:hints (("Goal" :do-not '(generalize))))
(include-book "../DJVM/consistent-state")
(local (in-theory (disable djvm::consistent-state name-of isClassType isArrayType)))
(defthm isArrayType-implies-not-isClassType
(implies (isArrayType tx)
(not (isClassType tx)))
:hints (("Goal" :in-theory (enable isArrayType isClassType))))
(include-book "../BCV/bcv-functions")
;;;
;;; In type check we have
;;;
;;;
;; (defun classname-s (scd) (nth 1 scd))
;; (defun super-s (scd) (nth 2 scd))
;; (defun constantpool-s (scd) (cdr (nth 3 scd)))
;; (defun fields-s (scd) (cdr (nth 4 scd)))
;; (defun methods-s (scd) (cdr (nth 5 scd)))
;; (defun interfaces-s (scd) (cdr (nth 6 scd)))
;; (defun accessflags-s (scd) (cdr (nth 7 scd)))
;; (defun attributes-s (scd) (cdr (nth 8 scd)))
;; (defun make-class-def (raw-class)
;; (make-class-term
;; (classname-s raw-class)
;; (mem '*interface* (accessflags-s raw-class))
;; (super-s raw-class)
;; (constantpool-s raw-class)
;; (interfaces-s raw-class)
;; (fields-s raw-class)
;; (methods-s raw-class)
;; (accessflags-s raw-class)
;; (attributes-s raw-class)))
;; (defun make-static-class-decl (cn super cp fs ms is as ats)
;; (LIST 'CLASS cn super
;; (CONS 'CONSTANT_POOL CP)
;; (CONS 'FIELDS fs)
;; (CONS 'METHODS ms)
;; (CONS 'INTERFACES is)
;; (CONS 'ACCESSFLAGS as)
;; (CONS 'ATTRIBUTES ats)))
;; ;; (defun classClassName (Class)
;; ;; (nth 1 Class))
;; ;; (defun classIsInterface (Class)
;; ;; (nth 2 Class))
;; ;; (defun classSuperClassName (Class)
;; ;; (nth 3 Class))
;; ;; (defun classConstantPool (Class)
;; ;; (cdr (nth 4 Class)))
;; ;; (defun classInterfaces (Class)
;; ;; (cdr (nth 5 Class)))
;; ;; (defun classFields (Class)
;; ;; (cdr (nth 6 Class)))
;; ;; (defun classMethods (Class)
;; ;; (cdr (nth 7 Class)))
;; ;; (defun classAccessFlags (Class)
;; ;; (cdr (nth 8 Class)))
;; ;; (defun classAttributes (Class)
;; ;; (cdr (nth 9 Class)))
;; (defun scl-decl-bcv2jvm (scl-decl)
;; (make-static-class-decl
;; (classClassName scl-decl)
;; (classSuperClassName scl-decl)
;; (classConstantPool scl-decl)
;; (classFields scl-decl)
;; (classMethods scl-decl)
;; (classInterfaces scl-decl)
;; (classAccessFlags scl-decl)
;; (classAttributes scl-decl)))
;;; Tue Jul 12 21:24:30 2005
;;;
;;; start fixing this.
(defthm equal-make-class-def-scl-decl-bcv2jvm
(implies (jvm::wff-class-rep-static raw-class)
(equal (scl-decl-bcv2jvm
(make-class-def raw-class))
raw-class))
:hints (("Goal" :in-theory (enable jvm::wff-class-rep-static))))
;; (skip-proofs
;; (defthm equal-make-class-def-scl-decl-bcv2jvm
;; (implies (jvm::wff-class-rep-static raw-class)
;; (equal (scl-decl-bcv2jvm
;; (make-class-def raw-class))
;; raw-class))))
;; ;; (skip-proofs
;; ;; (defthm equal-make-class-def-scl-decl-bcv2jvm-2
;; ;; (equal (make-class-def (scl-decl-bcv2jvm raw-class))
;; ;; raw-class)))
;; ;;; need to fix jvm::wff-class-rep-static
;; ;;;
;; (defun scl-bcv2jvm (scl)
;; (if (endp scl) nil
;; (cons (scl-decl-bcv2jvm (car scl))
;; (scl-bcv2jvm (cdr scl)))))
;; (defun scl-jvm2bcv (raw-scl)
;; (if (endp raw-scl) nil
;; (cons (make-class-def (car raw-scl))
;; (scl-jvm2bcv (cdr raw-scl)))))
;; (defun good-scl (scl)
;; (equal (scl-jvm2bcv (scl-bcv2jvm scl)) scl))
;; (defun icl-scl-compatible (icl scl)
;; (and (good-scl scl)
;; (djvm::class-table-is-loaded-from icl (scl-bcv2jvm scl))))
;;
;;
(defthm wff-icl-implies-not-class-exists-array
(implies (and (wff-icl icl)
(not (stringp x)))
(not (jvm::isclassterm (jvm::class-by-name x icl)))))
(defthm good-icl-implies-not-class-exists-array
(implies (good-icl icl)
(not (jvm::isclassterm (jvm::class-by-name (list* 'array any)
icl))))
:hints (("Goal" :in-theory (e/d () (jvm::isclassterm)))))
(defthm good-java-type-good-component-type
(implies (and (good-icl icl)
(good-java-type typ icl)
(isArrayType typ))
(good-java-type (component-type typ) icl))
:hints (("Goal" :do-not '(generalize)
:in-theory (e/d (jvm::array-component-type isclasstype isArrayType)
(good-icl)))))
;;
;; first relate bcv::isClassTerm on SCL with jvm::isClassTerm on ICL
;; when icl and SCL are related!
;;
(defthm icl-loaded-from-scl-implies-class-exists-class-exists-s
(implies (and (jvm::class-table-is-loaded-from icl scl)
(jvm::isClassTerm (jvm::class-by-name n icl)))
(mv-nth 0 (jvm::class-by-name-s n scl))))
;; (i-am-here) ;; Fri Jul 15 02:10:55 2005
(defthm class-exists-s-implies-bcv-is-class-term
(implies (and (mv-nth 0 (jvm::class-by-name-s n (scl-bcv2jvm scl)))
(equal (scl-jvm2bcv (scl-bcv2jvm scl)) scl))
(equal (bcv::class-by-name n scl)
(make-class-def
(mv-nth 1 (jvm::class-by-name-s n (scl-bcv2jvm scl))))))
:hints (("Goal" :do-not '(generalize fertilize)
:in-theory (enable jvm::classname-s class-by-name
))))
;; (defthm class-exists-s-implies-bcv-is-class-term
;; (implies (and (mv-nth 0 (jvm::class-by-name-s n (scl-bcv2jvm scl)))
;; (good-scl scl))
;; (equal (bcv::class-by-name n scl)
;; (make-class-def
;; (mv-nth 1 (jvm::class-by-name-s n (scl-bcv2jvm scl))))))
;; :hints (("Goal" :do-not '(generalize fertilize)
;; :in-theory (enable jvm::classname-s class-by-name
;; ))))
(defthm found-means-isClassTerm
(implies (and (mv-nth 0 (jvm::class-by-name-s n (scl-bcv2jvm scl)))
(good-scl scl))
(bcv::isClassTerm (bcv::class-by-name n scl))))
(defthm good-java-type-isClassType-isClassTerm
(implies (and (good-java-type typ icl)
(isclasstype typ))
(jvm::isClassTerm (jvm::class-by-name (name-of typ) icl)))
:hints (("Goal" :in-theory (enable isclasstype isArrayType jvm::primitive-type?))))
(defthm bcv-isClassTerm-jvm-isClassTerm
(implies (and (icl-scl-compatible icl scl)
(good-scl scl)
(good-java-type typ icl)
(isclasstype typ))
(bcv::isClassTerm (bcv::class-by-name (name-of typ) scl))))
;;;
;;; the following is a bit difficult.
;;;
;; (local
;; (defthm loaded-in-icl-then-found-in-scl
;; (implies (and (icl-scl-compatible icl scl)
;; (jvm::isClassTerm (jvm::class-by-name n icl)))
;; (mv-nth 0 (jvm::class-by-name-s n (scl-bcv2jvm scl))))))
(local
(defthm good-scl-not-class-exist
(implies (good-scl scl)
(not (isClassTerm
(class-by-name
(classSuperClassName
(class-by-name "java.lang.Object" scl))
scl))))))
;;;
;;; we just add an assertion that scl does not have a super for
;;; "java.lang.Object"
;;;
;;
;; (skip-proofs
;; (local
;; (defthm icl-scl-compatible-not-class-term-not-class-static
;; (implies (and (icl-scl-compatible icl scl)
;; (good-icl icl))
;; (not (isC
(local
(defthm good-icl-icl-scl-implies-not-isJavaAssignable
(implies (and (good-icl icl)
(icl-scl-compatible icl scl))
(NOT (ISJAVASUBCLASSOF "java.lang.Object" NIL SCL)))))
(local
(defthm java-lang-Object-subclass-of-nothing-but-java-lang-Object-lemma
(implies (and (good-icl icl)
(not (equal t3 "java.lang.Object"))
(icl-scl-compatible icl scl))
(not (isjavasubclassof "java.lang.Object" t3 scl)))
:hints (("Goal" :in-theory (e/d (name-of)
(isClassTerm
good-icl))
:expand (isjavasubclassof "java.lang.Object" t3 scl)))))
(local
(defthm good-java-type-not-equal-class-implies-not-equal-name-of
(implies (and (good-java-type typ icl)
(NOT (EQUAL '(CLASS "java.lang.Object") Typ)))
(not (equal (name-of typ) "java.lang.Object")))
:hints (("Goal" :in-theory (e/d (name-of isClassType) ())))))
(defthm java-lang-Object-subclass-of-nothing-but-java-lang-Object
(implies (and (NOT (EQUAL '(CLASS "java.lang.Object") T3))
(good-java-type t3 icl)
(good-icl icl)
(icl-scl-compatible icl scl))
(not (isjavasubclassof "java.lang.Object" (NAME-OF T3) scl)))
:hints (("Goal" :in-theory (e/d ()
(icl-scl-compatible
name-of
isClassTerm
good-icl))
:expand (isjavasubclassof "java.lang.Object" (NAME-OF T3) scl))))
;;;
;;; maybe we just assert it (good-icl icl)
;;;
;;; We know tha we can prove it from good-icl and icl-scl-compatible!
;;;
;;;
;;;
;;; because we can show that java.lang.Object is a super class of every thing.
;;;
;;; We could simply add the assertion on the external class table
;;;
;;; instead of relying on asserting there exists a icl that is compatible with
;;; the scl and that icl is good.
;;;
;;;
;;; However then, we need run a test to assert that scl is well formed before
;;; BCV starts!! This is not what JVM is doing, where classes may be
;;; dynamically created!!
;;;
;;; IN JVM, we are relying on the dynamic class loading to discover problem at
;;; runtime!!
;;;
;;; I seem to have do extra work to show that isjavasubclassof is transitive!!
;;;
;;; Wed Jul 13 16:13:46 2005
;; (skip-proofs
;; (defthm java-lang-Object-subclass-of-nothing-but-java-lang-Object
;; (implies (and (NOT (EQUAL '(CLASS "java.lang.Object") T3))
;; (good-java-type t3 icl)
;; (good-icl icl)
;; (icl-scl-compatible icl scl))
;; (not (isjavasubclassof "java.lang.Object" (NAME-OF T3) scl)))))
;;;
;;; we need extra assertion that if interface type, then
;;; the superclass is "java.lang.Object" !!!
(defthm jvm-wff-static-class-table-strong-implies-interface-type
(implies (and (MEM '*INTERFACE*
(jvm::accessflags-s
(mv-nth 1 (jvm::class-by-name-s n scl))))
(jvm::wff-static-class-table-strong scl))
(equal (jvm::super-s (mv-nth 1 (jvm::class-by-name-s n scl)))
"java.lang.Object")))
;;; we don't have to add this assertion onto scl and check for that
;;;
;;; because we could conclude from this from the fact that
;;;
;;; there exists an icl and that in that icl all interfaces' super is
;;; java.lang.Object!!
;;;
(defthm classisinterface-type-implies-mem-interface-flag
(implies (classisinterface (class-by-name n (scl-jvm2bcv scl)))
(mem '*interface*
(jvm::accessflags-s
(mv-nth 1 (jvm::class-by-name-s n scl)))))
:hints (("Goal" :in-theory (e/d (classisinterface
jvm::classname-s
scl-bcv2jvm
CLASSACCESSFLAGS
class-by-name
make-class-term
jvm::accessflags-s
classclassname) ()))))
;; (i-am-here) ;; Wed Jul 13 23:27:02 2005
(encapsulate ()
(local
(defthm classSuperClassname-equal-super-s
(equal (classSuperClassname (class-by-name n (scl-jvm2bcv scl)))
(jvm::super-s (mv-nth 1 (jvm::class-by-name-s n scl))))
:hints (("Goal" :in-theory (e/d (classSuperClassname
jvm::super-s
jvm::classname-s
make-class-term
classclassname
class-by-name))))))
(defthm icl-scl-compatible-and-interface-implies-java-lang-Object
(implies (and (jvm::wff-static-class-table-strong scl)
(classisinterface (class-by-name t2 (scl-jvm2bcv scl))))
(equal (classSuperClassName
(class-by-name t2 (scl-jvm2bcv scl))) "java.lang.Object"))
:hints (("Goal" :do-not '(generalize)
:do-not-induct t
:in-theory (disable scl-jvm2bcv)))))
(defthm interface-subclass-of-nothing-but-java-lang-Object
(implies (and (NOT (EQUAL '(CLASS "java.lang.Object") T3))
(good-icl icl)
(good-java-type t3 icl)
(not (equal (name-of t2) (name-of t3)))
(classisinterface (class-by-name (name-of t2) scl))
(icl-scl-compatible icl scl))
(not (isjavasubclassof (name-of t2) (NAME-OF T3) scl)))
:hints (("Goal" :in-theory (e/d (icl-scl-compatible)
(good-icl good-java-type))
:expand (isjavasubclassof (name-of t2) (NAME-OF T3) scl)
:use ((:instance
icl-scl-compatible-and-interface-implies-java-lang-Object
(scl (scl-bcv2jvm scl))
(t2 (name-of t2)))))))
;;
;; We do have a proof that any class in icl has a super class of
;; java.lang.Object. Thu Jul 14 12:21:00 2005
;;
(defthm superclass-no-loop1-superclass-no-loop1-super
(implies (and (SUPERCLASS-NO-LOOP1 N SCL seen)
(ISCLASSTERM (CLASS-BY-NAME N SCL)))
(SUPERCLASS-NO-LOOP1 (CLASSSUPERCLASSNAME (CLASS-BY-NAME N SCL))
SCL (cons n seen))))
(defthm superclass-no-loop1-no-loop-cons
(implies (SUPERCLASS-NO-LOOP1 N SCL (cons x seen))
(SUPERCLASS-NO-LOOP1 n scl seen)))
(defthm mem-collect-superclass-list1-implies-subclass
(implies (and (mem x (collect-superclass-list1 n scl ss))
(superclass-no-loop n scl))
(isjavasubclassof n x scl))
:hints (("Goal" :do-not '(generalize)
:restrict ((superclass-no-loop1-no-loop-cons
((x n)))))))
(defthm mem-collect-superclass-list1-implies-subclass-specific
(implies (and (mem x (collect-superclass-list1 n scl nil))
(superclass-no-loop n scl))
(isjavasubclassof n x scl))
:hints (("Goal" :do-not '(generalize))))
(defthm class-table-is-loaded-from-implies-class-is-loaded-from
(implies (and (jvm::class-table-is-loaded-from icl scl)
(jvm::isclassterm (jvm::class-by-name n icl)))
(jvm::class-is-loaded-from-helper (jvm::class-by-name n icl)
(mv-nth 1 (jvm::class-by-name-s n
scl))))
:hints (("Goal" :in-theory (e/d (jvm::classname-s) ()))))
(defthm class-is-loaded-from-implies-name-matches
(implies (jvm::class-is-loaded-from-helper class-rep class-static-rep)
(equal (jvm::classSuperClassname class-rep)
(jvm::super-s class-static-rep)))
:hints (("Goal" :in-theory (enable jvm::classSuperClassname))))
(encapsulate ()
(local
(defthm classSuperClassname-equal-super-s
(equal (classSuperClassname (class-by-name n (scl-jvm2bcv scl)))
(jvm::super-s (mv-nth 1 (jvm::class-by-name-s n scl))))
:hints (("Goal" :in-theory (e/d (classSuperClassname
jvm::super-s
jvm::classname-s
make-class-term
classclassname
class-by-name))))))
(defthm collect-superclass-list1-djvm-collect-superclass-list-match-lemma
(implies (and (jvm::class-table-is-loaded-from icl (scl-bcv2jvm scl))
(good-scl scl)
(jvm::isclassterm (jvm::class-by-name n icl)))
(equal (classSuperClassname (class-by-name n scl))
(djvm::classSuperClassname
(jvm::class-by-name n icl))))
:hints (("Goal" :do-not '(generalize)
:in-theory (e/d (jvm::super-s)
(djvm::classSuperClassname
jvm::isclassterm
jvm::class-is-loaded-from-helper))
:restrict ((class-is-loaded-from-implies-name-matches
((class-static-rep
(mv-nth 1 (jvm::class-by-name-s
n
(scl-bcv2jvm scl)))))))))))
;; The following is a useful theorem!!
;;
;; Thu Jul 14 16:04:43 2005. Don't have much time....
;; (i-am-here) ;; Thu Jul 14 16:44:30 2005
;; (skip-proofs
;; (defthm skip-proofs-1
;; (equal (NTH '2
;; (MV-NTH '1 (JVM::CLASS-BY-NAME-S N scl)))
;; n)))
(in-theory (disable class-exists-s-implies-bcv-is-class-term))
;; prove the following ;; Thu Jul 14 17:26:36 2005
;;
;; proved before somewhere!!
(local
(defthm
class-hierachy-consistent1-class-n-implies-not-java-lang-Object-super-bounded
(implies
(and (jvm::class-hierachy-consistent1-class-n name cl)
(not (equal name "java.lang.Object")))
(jvm::isClassTerm (jvm::class-by-name (jvm::super (jvm::class-by-name name cl))
cl)))
:hints (("Goal" :in-theory (e/d (jvm::class-exists? jvm::class-loaded?) (jvm::isClassTerm))))))
(local
(defthm
class-hierachy-consistent1-aux-implies-bounded-class-hierachy-consistent1-class-n
(implies (and (jvm::class-hierachy-consistent1-aux cl1 cl)
(jvm::isClassTerm (jvm::class-by-name name cl1)))
(jvm::class-hierachy-consistent1-class-n name cl))))
(defthm super-not-defined-then-java-lang-Object
(implies (and (jvm::isclassterm (jvm::class-by-name n cl))
(jvm::consistent-class-hierachy cl)
(not (equal n "java.lang.Object")))
(jvm::isclassterm (jvm::class-by-name
(jvm::classSuperClassname
(jvm::class-by-name n cl)) cl)))
:hints (("Goal" :in-theory (e/d (jvm::classSuperClassname
jvm::consistent-class-hierachy)
(jvm::super
jvm::class-by-name
jvm::isclassterm)))))
(defthm good-scl-implies-not-super-of-java-lang-Object-not-defined
(implies (and (good-scl scl)
(equal (classSuperClassname (class-by-name "java.lang.Object" scl))
n))
(not (isclassterm (class-by-name n scl)))))
;;
;; the following is not straightforward.
;;
;;
;; this it is not even true!!
;; with out asserting something in SCL that
;;
;; java.lang.Object does not has a "superclass"
;;
(defthm not-isClassTerm-icl-not-isClassTerm-scl-if-loaded
(implies (and (good-icl icl)
(good-scl scl)
(jvm::class-table-is-loaded-from icl (scl-bcv2jvm scl))
(jvm::isclassterm (jvm::class-by-name n icl))
(NOT
(JVM::ISCLASSTERM
(JVM::CLASS-BY-NAME (JVM::CLASSSUPERCLASSNAME (JVM::CLASS-BY-NAME N ICL))
ICL))))
(not (isclassterm (class-by-name (JVM::CLASSSUPERCLASSNAME
(JVM::CLASS-BY-NAME N ICL))
scl))))
:hints (("Goal" :cases ((equal n "java.lang.Object"))
:in-theory (disable
jvm::classsuperclassname
jvm::isclassterm))))
; Matt K. mod: Avoid raw Lisp error in tau due to the use of skip-proofs to
; guard verify some functions that aren't truly guard-verifiable:
; class-by-name, which tau was calling on an atomic classtable, 'JVM::ADDR; and
; good-scl, which tau was calling on (ARRAY BOOLEAN).
(local (in-theory (disable (:e tau-system))))
(defthm collect-superclass-list1-djvm-collect-superclass-list-match
(implies (and (icl-scl-compatible icl scl)
(good-icl icl)
(jvm::isclassterm (jvm::class-by-name n icl)))
(equal (collect-superclass-list1 n scl seen)
(djvm::collect-superclass-list1 n icl seen)))
:hints (("Goal" :in-theory (e/d (class-by-name)
(classSuperClassname
good-icl
good-scl
CLASS-EXISTS-S-IMPLIES-BCV-IS-CLASS-TERM
SUPERCLASS-NO-LOOP1
jvm::super-s
jvm::class-by-name
jvm::isclassterm
isclassterm
jvm::class-table-is-loaded-from
jvm::classSuperClassname
CLASS-IS-LOADED-FROM-IMPLIES-NAME-MATCHES))
:do-not '(generalize fertilize)
:restrict ((COLLECT-SUPERCLASS-LIST1-DJVM-COLLECT-SUPERCLASS-LIST-MATCH-LEMMA
((icl icl)))))
("Subgoal *1/3" :expand (JVM::COLLECT-SUPERCLASS-LIST1 N ICL SEEN))
("Subgoal *1/2" :expand (JVM::COLLECT-SUPERCLASS-LIST1 N ICL SEEN))))
;;; Thu Jul 14 17:06:24 2005
;;;
;;; should be easy!!
;----------------------------------------------------------------------
(defthm super-no-loop-no-loop
(implies (and (jvm::class-table-is-loaded-from icl (scl-bcv2jvm scl))
(jvm::SUPERCLASS-CHAIN-NO-LOOP-CLASS-N n icl seen)
(good-scl scl)
(jvm::isclassterm (jvm::class-by-name n icl))
(jvm::class-hierachy-consistent1-aux icl icl))
(superclass-no-loop1 n scl seen))
:hints (("Goal" :do-not '(generalize fertilize)
:in-theory (e/d (JVM::CLASSSUPERCLASSNAME)
(jvm::isclassterm
jvm::classSuperClassname
jvm::super
classSuperClassname)))
("Subgoal *1/6" :expand (jvm::classSuperClassname
(JVM::CLASS-BY-NAME N ICL)))
("Subgoal *1/5" :cases ((equal n "java.lang.Object")))
("Subgoal *1/5.1" :expand (superclass-no-loop1 "java.lang.Object" scl seen))))
(defthm class-hierachy2-class-n-implies-superclass-chain-no-loop
(implies (and (jvm::class-hierachy-consistent2-aux cl1 cl)
(jvm::isclassterm (jvm::class-by-name n cl1)))
(jvm::superclass-chain-no-loop-class-n n cl nil)))
(defthm icl-scl-compatible-good-icl-implies-superclass-no-loop
(implies (and (icl-scl-compatible icl scl)
(good-icl icl)
(good-scl scl)
(jvm::isclassterm (jvm::class-by-name n icl)))
(superclass-no-loop1 n scl nil))
:hints (("Goal" :do-not '(generalize fertilize)
:in-theory (e/d (jvm::consistent-class-hierachy)
(jvm::isclassterm
good-scl
superclass-no-loop1)))))
(defthm all-subclass-of-java-lang-Object-implies-mem
(implies (and (all-subclass-of-java-lang-Object l icl)
(mem x l))
(mem "java.lang.Object"
(djvm::collect-superclass-list1 x icl nil))))
(defthm all-subclass-of-java-lang-Object-implies-mem-specific
(implies (and (all-subclass-of-java-lang-Object (jvm::all-class-names icl) icl)
(mem x (jvm::all-class-names icl)))
(mem "java.lang.Object"
(djvm::collect-superclass-list1 x icl nil))))
(defthm isclassname-mem-x-all-classname
(implies (jvm::isclassterm (jvm::class-by-name x icl))
(mem x (jvm::all-class-names icl))))
(defthm everything-subclass-of-java-lang-Object
(implies (and (good-icl icl)
(isclasstype t1)
(good-java-type t1 icl)
(icl-scl-compatible icl scl))
(isjavasubclassof (name-of t1) "java.lang.Object" scl))
:hints (("Goal"
:in-theory (e/d (good-java-type isjavasubclassof) ())
:restrict
((collect-superclass-list1-djvm-collect-superclass-list-match
((icl icl)))
(icl-scl-compatible-good-icl-implies-superclass-no-loop
((icl icl)))))))
;;; because that we have a special object "java.lang.Object"
;;; the test of isJavaAssignable follows a different path
;;; when some object is "java.lang.object"
;; (skip-proofs
;; (defthm everything-subclass-of-java-lang-Object
;; (implies (and (good-icl icl)
;; (isclasstype t1)
;; (good-java-type t1 icl)
;; (icl-scl-compatible icl scl))
;; (isjavasubclassof (name-of t1) "java.lang.Object" scl))))
;;
(defthm isJavaAssignable-Transitive
(implies (and (good-java-type t1 icl)
(good-java-type t2 icl)
(good-java-type t3 icl)
(good-icl icl)
(good-scl scl)
(icl-scl-compatible icl scl)
(isJavaAssignable t1 t2 scl)
(isJavaAssignable t2 t3 scl))
(isJavaAssignable t1 t3 scl))
:hints (("Goal" :do-not '(generalize fertilize)
:in-theory (e/d () (good-java-type component-type
good-scl isArrayType good-icl)))
("Subgoal *1/5" :cases ((equal (name-of t3) (name-of t2))))
("Subgoal *1/2" :cases ((equal '(class "java.lang.Object") t3)))
("Subgoal *1/2.2" :cases ((equal (name-of t3) (name-of t2))))))
;;; At LAST !!! Thu Jul 14 21:13:05 2005
;;;
;;; Thu Jul 14 21:13:07 2005
;; (defun good-bcv-type (typ icl)
;; (or (equal typ 'ONEWORD)
;; (equal typ 'TWOWORD)
;; (equal typ 'topx)
;; (equal typ 'REFERENCE)
;; (equal typ 'UNINITIALIZED)
;; (equal typ 'UNINITIALIZEDTHIS)
;; (good-java-type typ icl)))
(include-book "../BCV/bcv-functions")
(local (in-theory (disable classtableenvironment icl-scl-compatible good-icl good-scl)))
;; (skip-proofs
;; (defthm good-icl-not-java-assignable
;; (implies (and (good-icl icl)
;; (not (good-java-type typ icl))
;; (icl-scl-compatible icl scl))
;; (not (isJavaAssignable any typ scl)))))
;; (skip-proofs
;; (defthm good-icl-not-java-assignable-2
;; (implies (and (good-icl icl)
;; (not (good-java-type typ icl))
;; (icl-scl-compatible icl scl))
;; (not (isJavaAssignable typ any scl)))))
(defthm not-good-java-type-fact
(not (good-java-type 'uninitializedthis icl)))
(defthm not-good-java-type-fact-2
(not (good-java-type 'uninitialized icl)))
(defthm not-good-java-type-fact-3
(not (good-java-type 'oneword icl)))
(defthm not-good-java-type-fact-4
(not (good-java-type 'twoword icl)))
(defthm not-good-java-type-fact-5
(not (good-java-type 'topx icl)))
(defthm not-good-java-type-fact-6
(not (good-java-type 'reference icl)))
(local (in-theory (disable good-java-type)))
(defthm isJavaAssignable-not-class-type-not-arraytype
(implies (and (not (isClassType typ))
(not (isArrayType typ)))
(not (isJavaAssignable any typ scl))))
(defthm isJavaAssignable-not-class-type-not-arraytype-2
(implies (and (not (isClassType typ))
(not (isArrayType typ)))
(not (isJavaAssignable typ any scl))))
(defthm not-good-java-type-null
(not (good-java-type 'null icl))
:hints (("Goal" :in-theory (enable good-java-type))))
(defthm isAssignable-convertint
(implies (isAssignable sT gT env)
(isAssignable (convertIfInt sT) (convertIfInt gT) env)))
(defthm convertIfInt-fixed
(equal (convertIfInt (convertIfInt x))
(convertIfInt x)))
(defthm isAssignable-long-is-long
(implies (isAssignable x 'LONG env)
(equal x 'LONG))
:rule-classes :forward-chaining)
(defthm isAssignable-double-is-double
(implies (isAssignable x 'DOUBLE env)
(equal x 'DOUBLE))
:rule-classes :forward-chaining)
(defthm isAssignable-equal-equal
(isAssignable x x env))
(defthm nothing-isAssignable-to-top
(implies (not (equal any 'topx))
(not (isAssignable 'topx any env))))
(defthm not-good-java-type
(not (GOOD-JAVA-TYPE (CONS 'UNINITIALIZED T3)
ICL))
:hints (("Goal" :in-theory (enable good-java-type isArrayType isClassType))))
(local
(defthm isAssignable-expander
(implies (syntaxp (and (eq (car bcv::t1) 'QUOTE)
(eq (car bcv::t2) 'QUOTE)))
(equal (bcv::isAssignable bcv::t1 bcv::t2 bcv::env)
(LET
((BCV::CL (BCV::CLASSTABLEENVIRONMENT BCV::ENV)))
(IF
(EQUAL BCV::T1 BCV::T2)
T
(COND
((AND (EQUAL BCV::T1 'ONEWORD)
(EQUAL BCV::T2 'topx))
T)
((AND (EQUAL BCV::T1 'TWOWORD)
(EQUAL BCV::T2 'topx))
T)
((EQUAL BCV::T1 'INT)
(BCV::ISASSIGNABLE 'ONEWORD
BCV::T2 BCV::ENV))
((EQUAL BCV::T1 'FLOAT)
(BCV::ISASSIGNABLE 'ONEWORD
BCV::T2 BCV::ENV))
((EQUAL BCV::T1 'LONG)
(BCV::ISASSIGNABLE 'TWOWORD
BCV::T2 BCV::ENV))
((EQUAL BCV::T1 'DOUBLE)
(BCV::ISASSIGNABLE 'TWOWORD
BCV::T2 BCV::ENV))
((EQUAL BCV::T1 'REFERENCE)
(BCV::ISASSIGNABLE 'ONEWORD
BCV::T2 BCV::ENV))
((EQUAL 'UNINITIALIZED BCV::T1)
(BCV::ISASSIGNABLE 'REFERENCE
BCV::T2 BCV::ENV))
((BCV::ISCLASSTYPE BCV::T1)
(OR (BCV::ISASSIGNABLE 'REFERENCE
BCV::T2 BCV::ENV)
(BCV::ISJAVAASSIGNABLE BCV::T1 BCV::T2 BCV::CL)))
((BCV::ISARRAYTYPE BCV::T1)
(OR
(BCV::ISASSIGNABLE 'REFERENCE
BCV::T2 BCV::ENV)
(AND (BCV::ISCLASSTYPE BCV::T2)
(BCV::ISJAVAASSIGNABLE BCV::T1 BCV::T2 BCV::CL))
(AND (BCV::ISARRAYTYPE BCV::T2)
(BCV::ISJAVAASSIGNABLE BCV::T1 BCV::T2 BCV::CL))))
((EQUAL BCV::T1 'UNINITIALIZEDTHIS)
(BCV::ISASSIGNABLE 'UNINITIALIZED
BCV::T2 BCV::ENV))
((BCV::ISUNINITIALIZEDOBJECT BCV::T1)
(BCV::ISASSIGNABLE 'UNINITIALIZED
BCV::T2 BCV::ENV))
((BCV::ISNULLTYPE BCV::T1)
(OR (BCV::ISCLASSTYPE BCV::T2)
(BCV::ISARRAYTYPE BCV::T2)
(BCV::ISASSIGNABLE '(CLASS "java.lang.Object")
BCV::T2 BCV::ENV)))
(T NIL))))))))
(defthm isassignable-fact-1
(implies (and (good-java-type t2 icl)
(good-icl icl))
(NOT (ISASSIGNABLE T2 'UNINITIALIZED ENV)))
:hints (("Goal" :in-theory (enable good-java-type))))
;; (defthm isassignable-fact-2
;; (implies (and (good-java-type t2 icl)
;; (good-icl icl))
;; (NOT (ISASSIGNABLE T2 'TWOWORD ENV))))
;;; wrong!!
(defthm isassignable-fact-2
(implies (and (good-java-type t2 icl)
(not (equal t2 'LONG))
(not (equal t2 'DOUBLE))
(good-icl icl))
(NOT (ISASSIGNABLE T2 'TWOWORD ENV))))
(defthm isassignable-fact-3
(implies (and (good-java-type t2 icl)
(good-icl icl))
(NOT (ISASSIGNABLE T2 'UNINITIALIZEDTHIS
ENV))))
(skip-proofs
(defthm jvm-isclassterm-bcv-isclassterm
(implies (and (JVM::ISCLASSTERM (JVM::CLASS-BY-NAME T4 ICL))
(GOOD-ICL ICL)
(GOOD-SCL SCL)
(ICL-SCL-COMPATIBLE ICL SCL))
(ISCLASSTERM (CLASS-BY-NAME T4 SCL)))
:hints (("Goal" :do-not '(generalize fertilize)))))
;;; this is such a basic result!!
;;; we want this result, because we want the next one
;;; that assert that isassignable is equal to isJavaAssignable!!
(defthm scl-decl-bcv2jvm-scl-decl-jvm2bcv-equal-implies-boolean
(implies (equal (MAKE-CLASS-DEF (scl-decl-bcv2jvm class-rep)) classrep)
(booleanp (classisinterface classrep)))
:hints (("Goal" :in-theory (enable classisinterface make-class-term))))
;;; (i-am-here) ;; Fri Jul 15 02:19:37 2005
(defthm scl-decl-bcv2jvm-scl-decl-jvm2bcv-equal-implies-class-rep
(implies (equal (MAKE-CLASS-DEF (scl-decl-bcv2jvm class-rep)) classrep)
(isclassterm classrep)))
(defthm good-scl-all-isClassTerm
(implies (and (good-scl scl)
(consp scl))
(isclassterm (car scl)))
:hints (("Goal" :in-theory (enable good-scl))))
;; to prove the following, we need something
;; (defthm good-scl-implies-if-interface-type-boolean-weak
;; (implies (and (equal (scl-jvm2bcv (scl-bcv2jvm scl)) scl)
;; (isclassterm (class-by-name n scl)))
;; (booleanp (classisinterface (class-by-name n scl))))
;; :hints (("Goal" :in-theory (e/d (class-by-name) (scl-decl-bcv2jvm
;; classisinterface
;; make-class-def))
;; :do-not '(generalize fertilize))))
(defthm good-scl-implies-if-interface-type-boolean
(implies (equal (scl-jvm2bcv (scl-bcv2jvm scl)) scl)
(booleanp (classisinterface (class-by-name n scl))))
:hints (("Goal" :in-theory (e/d (class-by-name) (scl-decl-bcv2jvm
classisinterface
make-class-def)))))
(defthm good-scl-implies-scl-jvm2bcv-scl-bcv2jvm-equal
(implies (good-scl scl)
(equal (scl-jvm2bcv (scl-bcv2jvm scl)) scl))
:hints (("Goal" :in-theory (enable good-scl))))
(defthm good-scl-implies-classisinterface-t
(implies (and (CLASSISINTERFACE (CLASS-BY-NAME T4 SCL))
(GOOD-SCL SCL))
(EQUAL (CLASSISINTERFACE (CLASS-BY-NAME T4 SCL))
T))
:hints (("Goal" :do-not '(fertilize)
:use ((:instance good-scl-implies-if-interface-type-boolean
(n t4)))
:in-theory (disable jvm::isclassterm good-scl
classisinterface))))
;;(i-am-here) ;;Fri Jul 15 02:24:05 2005
(defthm isJavaAssignable-equal-equal
(implies (and (good-java-type t1 icl)
(not (jvm::primitive-type? t1))
(good-icl icl)
(good-scl scl)
(icl-scl-compatible icl scl))
(equal (isJavaAssignable t1 t1 scl) t))
:hints (("Goal" :in-theory (e/d (jvm::primitive-type? name-of
good-java-type isArrayType isclasstype)
(jvm::isclassterm good-icl good-scl))
:do-not '(generalize))))
;; note this is a stronger result than
;;
;;
;; (defthm isJavaAssignable-equal-equal
;; (implies (and (good-java-type t1 icl)
;; (not (jvm::primitive-type? t1))
;; (good-icl icl)
;; (good-scl scl)
;; (icl-scl-compatible icl scl))
;; (isJavaAssignable t1 t1 scl))
;; :hints (("Goal" :in-theory (e/d (jvm::primitive-type? name-of
;; good-java-type isArrayType isclasstype)
;; (jvm::isclassterm good-icl good-scl))
;; :do-not '(generalize))))
(defthm not-good-java-type-uninitialized
(not (GOOD-JAVA-TYPE (CONS 'UNINITIALIZED T4)
ICL))
:hints (("Goal" :in-theory (enable good-java-type isclasstype isarraytype))))
(defthm isAssignable-reduced-to-isJavaAssignable
(implies (and (good-java-type t1 icl)
(not (jvm::primitive-type? t1))
(good-java-type t2 icl)
(not (jvm::primitive-type? t2))
(good-icl icl)
(good-scl (classtableenvironment env))
(icl-scl-compatible icl (classtableenvironment env)))
(equal (isAssignable t1 t2 env)
(isJavaAssignable t1 t2 (classtableenvironment env))))
:hints (("Goal" :do-not '(generalize)
:in-theory (disable good-scl)
:restrict ((isJavaAssignable-equal-equal
((icl icl)
(scl (classtableenvironment env))))))))
(defthm primitive-type-not-java-Assignable
(implies (jvm::primitive-type? t2)
(not (ISJAVAASSIGNABLE T1 T2 scl)))
:hints (("Goal" :in-theory (enable isArrayType isclasstype jvm::primitive-type?))))
;; (defthm |Subgoal *1/11.5'|
;; (IMPLIES (AND (NOT (EQUAL T1 T3))
;; (NOT (EQUAL T1 'ONEWORD))
;; (NOT (EQUAL T1 'TWOWORD))
;; (NOT (EQUAL T1 'INT))
;; (NOT (EQUAL T1 'FLOAT))
;; (NOT (EQUAL T1 'LONG))
;; (NOT (EQUAL T1 'DOUBLE))
;; (NOT (EQUAL T1 'REFERENCE))
;; (NOT (EQUAL 'UNINITIALIZED T1))
;; (ISCLASSTYPE T1)
;; (NOT (EQUAL 'REFERENCE T3))
;; (NOT (EQUAL 'ONEWORD T3))
;; (NOT (EQUAL T3 'topx))
;; (GOOD-JAVA-TYPE T2 ICL)
;; (GOOD-JAVA-TYPE T3 ICL)
;; (NOT (EQUAL 'REFERENCE T2))
;; (NOT (EQUAL 'ONEWORD T2))
;; (NOT (EQUAL T2 'topx))
;; (GOOD-JAVA-TYPE T1 ICL)
;; (GOOD-ICL ICL)
;; (ICL-SCL-COMPATIBLE ICL (CLASSTABLEENVIRONMENT ENV))
;; (ISJAVAASSIGNABLE T1 T2 (CLASSTABLEENVIRONMENT ENV))
;; (ISASSIGNABLE T2 T3 ENV))
;; (ISJAVAASSIGNABLE T1 T3 (CLASSTABLEENVIRONMENT ENV))))
;(i-am-here)
;; the folllowing could be dealt with a rewrite rule that expands
;;
;; (local
;; (defthm isassignable-null-fact-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'CHAR ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'CHAR ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'BOOLEAN ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'BOOLEAN ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'JVM::SHORT ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'JVM::SHORT ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'FLOAT ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'FLOAT ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0-0-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'BYTE ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'BYTE ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0-0-0-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'LONG ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'LONG ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0-0-0-0-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'INT ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'INT ENV)))))
;; (local
;; (defthm isassignable-null-fact-0-0-0-0-0-0-0-0
;; (NOT (ISASSIGNABLE 'REFERENCE 'DOUBLE ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'REFERENCE 'DOUBLE ENV)))))
;; (local
;; (defthm isassignable-null-fact-1
;; (NOT (ISASSIGNABLE 'NULL 'CHAR ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'CHAR ENV)))))
;; (local
;; (defthm isassignable-null-fact-2
;; (NOT (ISASSIGNABLE 'NULL 'BOOLEAN ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'BOOLEAN ENV)))))
;; (local
;; (defthm isassignable-null-fact-3
;; (NOT (ISASSIGNABLE 'NULL 'JVM::SHORT ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'JVM::SHORT ENV)))))
;; (local
;; (defthm isassignable-null-fact-4
;; (NOT (ISASSIGNABLE 'NULL 'FLOAT ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'FLOAT ENV)))))
;; (local
;; (defthm isassignable-null-fact-5
;; (NOT (ISASSIGNABLE 'NULL 'BYTE ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'BYTE ENV)))))
;; (local
;; (defthm isassignable-null-fact-6
;; (NOT (ISASSIGNABLE 'NULL 'LONG ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'LONG ENV)))))
;; (local
;; (defthm isassignable-null-fact-7
;; (NOT (ISASSIGNABLE 'NULL 'INT ENV))
;; :hints (("Goal" :expand (ISASSIGNABLE 'NULL 'INT ENV)))))
;; (defthm not-isAssignable-NULL
;; (implies (jvm::primitive-type? typ)
;; (not (ISASSIGNABLE 'NULL typ ENV)))
;; :hints (("Goal" :in-theory (enable isassignable)
;; :expand (ISASSIGNABLE 'NULL typ ENV))))
;;;
;;; replaced with isassignable-expander
;;;
(defthm not-isAssignable-UNINITIALIZEDTHIS
(implies (jvm::primitive-type? typ)
(not (ISASSIGNABLE 'UNINITIALIZEDTHIS typ ENV)))
:hints (("Goal" :in-theory (enable isassignable)
:expand (ISASSIGNABLE 'UNINITIALIZEDTHIS typ ENV))))
;; (skip-proofs
;; (defthm isassignable-NULL-fact-8
;; (ISASSIGNABLE 'NULL 'ONEWORD ENV)))
;; (skip-proofs
;; (defthm isassignable-NULL-fact-9
;; (ISASSIGNABLE 'NULL 'topx ENV)))
;; (skip-proofs
;; (defthm isassignable-NULL-fact-10
;; (not (ISASSIGNABLE 'NULL 'UNINITIALIZED ENV))))
;; (skip-proofs
;; (defthm isassignable-NULL-fact-11
;; (not (ISASSIGNABLE 'NULL 'UNINITIALIZEDTHIS ENV))))
;; (skip-proofs
;; (defthm isassignable-NULL-fact-12
;; (not (ISASSIGNABLE 'NULL 'TWOWORD ENV))))
(defthm isassignable-uninitialized-any
(implies (and (not (equal any 'uninitialized))
(not (equal any 'uninitializedThis))
;; failed proof reveal the
;; additional constraints!!
(not (isuninitializedobject any))) ;;
(NOT (ISASSIGNABLE any
'UNINITIALIZED
ENV)))
:hints (("Goal" :in-theory (enable isclasstype isArrayType))))
(defthm isassignable-NULL-any
(implies (not (equal any 'NULL))
(NOT (ISASSIGNABLE any 'NULL ENV))))
(defthm isassignable-uninitializedthis-any
(implies (not (equal any 'uninitializedThis))
(NOT (ISASSIGNABLE any
'UNINITIALIZEDTHIS
ENV))))
;; (skip-proofs
;; (defthm isassignable-NULL-fact-13
;; (ISASSIGNABLE 'NULL 'REFERENCE ENV)))
(defthm isassignable-reference-primitive-type
(implies (jvm::primitive-type? any)
(not (isassignable 'REFERENCE any env))))
(defthm good-java-type-primitive-type
(implies (and (good-java-type typ icl)
(not (isclasstype typ))
(not (isArrayType typ)))
(jvm::primitive-type? typ))
:hints (("Goal" :in-theory (enable good-java-type)))
:rule-classes :forward-chaining)
(defthm good-java-type-not-NULL-assignable
(implies (and (good-java-type typ icl)
(ICL-SCL-COMPATIBLE ICL (CLASSTABLEENVIRONMENT ENV))
(not (isclasstype typ))
(not (isArrayType typ)))
(not (ISASSIGNABLE 'NULL typ ENV)))
:hints (("Goal" :cases ((jvm::primitive-type? typ))))
:rule-classes :forward-chaining)
(defthm good-java-type-not-NULL-assignable-b
(implies (and (good-java-type typ icl)
(not (isclasstype typ))
(not (isArrayType typ)))
(not (ISASSIGNABLE 'NULL typ ENV)))
:hints (("Goal" :expand (ISASSIGNABLE 'NULL typ ENV))))
(defthm not-primitive-type-primitive-type
(implies (and (not (jvm::primitive-type? typ1))
(jvm::primitive-type? typ2))
(not (isassignable typ1 typ2 env))))
;; (i-am-here) ;; Fri Apr 29 17:07:10 2005
;; (defthm |Subgoal *1/20.2'|
;; (IMPLIES
;; (AND (NOT (EQUAL 'NULL T3))
;; (NOT (ISCLASSTYPE T3))
;; (NOT (ISARRAYTYPE T3))
;; (CONSP (JVM::CLASS-BY-NAME "java.lang.Object" ICL))
;; (NOT (EQUAL (LEN (CDR (JVM::CLASS-BY-NAME "java.lang.Object" ICL)))
;; 11))
;; (GOOD-JAVA-TYPE T2 ICL)
;; (JVM::PRIMITIVE-TYPE? T3)
;; (GOOD-ICL ICL)
;; (ICL-SCL-COMPATIBLE ICL (CLASSTABLEENVIRONMENT ENV))
;; (ISASSIGNABLE 'NULL T2 ENV))
;; (NOT (ISASSIGNABLE T2 T3 ENV))))
;; Fri Jul 15 00:17:07 2005
(defthm good-icl-implies-good-java-type-java-lang-Object
(implies (good-icl icl)
(good-java-type '(class "java.lang.Object") icl))
:hints (("Goal" :in-theory (enable good-java-type good-icl))))
;; (skip-proofs
;; (defthm good-icl-implies-good-java-type-java-lang-Object
;; (implies (good-icl icl)
;; (good-java-type '(class "java.lang.Object") icl))))
(defthm not-long-not-double-then-not-assignable-to-twoword
(implies (and (not (equal t2 'LONG))
(not (equal t2 'DOUBLE))
(not (equal t2 'twoword)))
(NOT (ISASSIGNABLE T2 'TWOWORD ENV))))
(defthm isAssignable-Transitive
(implies (and (good-bcv-type t1 icl)
(good-bcv-type t2 icl)
(good-bcv-type t3 icl)
(equal (classtableEnvironment env) scl)
(good-icl icl)
(good-scl scl)
(icl-scl-compatible icl scl)
(isAssignable t1 t2 env)
(isAssignable t2 t3 env))
(isAssignable t1 t3 env))
:hints (("Goal" :in-theory (e/d () (isjavaassignable good-scl jvm::primitive-type?))
:do-not '(generalize fertilize))))
(defthm isArrayType-not-assignable-to-TWOWORD
(implies (ISARRAYTYPE GT)
(not (ISASSIGNABLE GT 'TWOWORD ENV))))
(defthm isClassType-not-assignable-to-TWOWORD
(implies (ISCLASSTYPE GT)
(not (ISASSIGNABLE GT 'TWOWORD ENV))))
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